37213334561340 has 768 divisors, whose sum is σ = 146128247193600. Its totient is φ = 7670414361600.

The previous prime is 37213334561329. The next prime is 37213334561363. The reversal of 37213334561340 is 4316543331273.

It is a happy number.

37213334561340 is a `hidden beast` number, since 3 + 7 + 2 + 13 + 3 + 34 + 561 + 3 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 135674617 + ... + 135948623.

It is an arithmetic number, because the mean of its divisors is an integer number (190271155200).

Almost surely, 2^{37213334561340} is an apocalyptic number.

37213334561340 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 37213334561340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73064123596800).

37213334561340 is an abundant number, since it is smaller than the sum of its proper divisors (108914912632260).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

37213334561340 is a wasteful number, since it uses less digits than its factorization.

37213334561340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 274143 (or 274135 counting only the distinct ones).

The product of its (nonzero) digits is 1632960, while the sum is 45.

The spelling of 37213334561340 in words is "thirty-seven trillion, two hundred thirteen billion, three hundred thirty-four million, five hundred sixty-one thousand, three hundred forty".